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MAT-30010 - Module Specification
School of Computing and Mathematics
Faculty of Natural Sciences

For academic year: 2022/23 Last Updated: 19 January 2023

MAT-30010 - Complex Variable II
Coordinator: Peter Fletcher Room: MAC2.36 Tel: +44 1782 7 33260
Lecture Time: See Timetable...
Level: Level 6
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2022/23

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

MAT-20004 Complex Variable I and Vector Calculus;
MAT-20035 Exploring Algebra and Analysis

Barred Combinations

None

Description for 2022/23

This module extends Level 5 Complex Variable considering further applications of contour integration and the Residue Theorem. The module then provides an introduction to conformal mappings, together with some of their applications, in particular, their application in determining harmonic functions in two-dimensional regions. The module also covers certain analytical aspects of complex functions.

Aims
The aim of this module is, firstly, to study further applications of contour integration and the Residue Theorem and, secondly, to provide an introduction to conformal mappings and their applications.

Intended Learning Outcomes

evaluate a range of complex variable techniques, then select and apply these techniques to solve problems in complex variables: 1,2,3
prove theorems in complex variables and apply these theorems to a range of situations: 1,2,3
appraise problems involving complex variables, make judgements on appropriate approaches to these problems, select and then apply appropriate concepts and theory toż solve these problems: 1,2,3

Study hours

Scheduled classes: 30 hours
Preparation of coursework: 30 hours
Independent study: 88 hours
Unseen examination : 2 hours

School Rules

None

Description of Module Assessment

1: Unseen Exam weighted 70%
Examination
2-hour closed-book end of module examination.

2: Coursework weighted 15%
First Coursework
Take-home assignment during module.

3: Coursework weighted 15%
Second Coursework
Take-home assignment during module.

Please note that for the 2022/23 Academic Year programmes may be adapted to operate in accordance with a flexible, digital approach. This means that there may be some changes made to how modules are delivered and assessed. The latest information will be provided to you by your School in module handbooks. We endeavour to give you as much notice as possible of any changes and details about the circumstance in which changes are made to programmes can be found in the Student Agreement, available at: https://www.keele.ac.uk/student-terms-and-conditions/

Last Updated: 19 January 2023